Finding the Third Proportional to 65,872 and 101,900

Step by Step Solution

1. Step 1: Write the proportion equation
   65,872 : 101,900 = 101,900 : x
2. Step 2: Convert to fraction form
   65,872/101,900 = 101,900/x
3. Step 3: Cross multiply
   65,872x = 101,900 × 101,900
4. Step 4: Simplify right side
   65,872x = 10,383,610,000
5. Step 5: Solve for x
   x = 10,383,610,000/65,872
6. Step 6: Final answer
   x = 157,633.14